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Finding the Fourth Proportional to 487.75, 734.49 and 351.75

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Solution

The fourth proportional to 487.75, 734.49 and 351.75 is: 529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.75 : 734.49 = 351.75 : x
  2. Step 2: Convert to fraction form
    487.75/734.49 = 351.75/x
  3. Step 3: Cross multiply
    487.75x = 734.49 × 351.75
  4. Step 4: Simplify right side
    487.75x = 258,355.02
  5. Step 5: Solve for x
    x = 258,355.02/487.75
  6. Step 6: Final answer
    x = 529.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.